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Article
Approximation Capability of a Bilinear Immersed Finite Element Space
Numerical methods for Partial Differential Equations
  • Xiaoming He, Missouri University of Science and Technology
  • Tao Lin
  • Yanping Lin
Abstract

This article discusses a bilinear immersed finite element (IFE) space for solving second-order elliptic boundary value problems with discontinuous coefficients (interface problem). This is a nonconforming finite element space and its partition can be independent of the interface. the error estimates for the interpolation of a Sobolev function indicate that this IFE space has the usual approximation capability expected from bilinear polynomials. Numerical examples of the related finite element method are provided. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2008

Department(s)
Mathematics and Statistics
Keywords and Phrases
  • error estimates,
  • finite element,
  • immersed interface,
  • interface problems
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2008 Wiley-Blackwell, All rights reserved.
Publication Date
1-1-2008
Citation Information
Xiaoming He, Tao Lin and Yanping Lin. "Approximation Capability of a Bilinear Immersed Finite Element Space" Numerical methods for Partial Differential Equations (2008)
Available at: http://works.bepress.com/xiaoming-he/20/